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Finding the Fourth Proportional to 298,766.98, 412,293.09 and 162,801.82

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Solution

The fourth proportional to 298,766.98, 412,293.09 and 162,801.82 is: 224,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,766.98 : 412,293.09 = 162,801.82 : x
  2. Step 2: Convert to fraction form
    298,766.98/412,293.09 = 162,801.82/x
  3. Step 3: Cross multiply
    298,766.98x = 412,293.09 × 162,801.82
  4. Step 4: Simplify right side
    298,766.98x = 67,122,065,425.42
  5. Step 5: Solve for x
    x = 67,122,065,425.42/298,766.98
  6. Step 6: Final answer
    x = 224,663.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.